Results 1 to 10 of about 4,353,627 (227)

Fixed Point Results via G-Transitive Binary Relation and Fuzzy L-R-Contraction

open access: yesMathematics, 2023
In this study, we initiate the concept of fuzzy L-R-contraction and establish some fixed point results involving a G-transitive binary relation and fuzzy L-simulation functions, by employing suitable hypotheses on a fuzzy metric space endowed with a ...
Abdelhamid Moussaoui   +4 more
doaj   +2 more sources

Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation

open access: yesMathematics, 2023
The purpose of this article is to discuss some new aspects of the vector-valued metric space. The idea of an arbitrary binary relation along with the well-known F contraction is used to demonstrate the existence of fixed points in the context of a ...
Fahim Ud Din   +3 more
doaj   +2 more sources

Compact Binary Relation Representations with Rich Functionality [PDF]

open access: yesInformation and Computation, 2012
Binary relations are an important abstraction arising in many data representation problems. The data structures proposed so far to represent them support just a few basic operations required to fit one particular application.
Barbay, Jérémy   +2 more
core   +4 more sources

Fixed point results via altering distance functions in relational fuzzy metric spaces with application [PDF]

open access: yesMathematica Moravica, 2021
Some fixed point theorems are developed in fuzzy metric spaces using an altering distance function under binary relationship. We ensure the existence and uniqueness of the solution to ordinary differential equation using our results.
Bartwal Ayush, Dimri R. C., Rawat Shivam
doaj   +1 more source

$\mathcal F$-hypercyclic and disjoint $\mathcal F$-hypercyclic properties of binary relations over topological spaces [PDF]

open access: yesMathematica Bohemica, 2020
We examine various types of $\mathcal F$-hypercyclic ($\mathcal F$-topologically transitive) and disjoint $\mathcal F$-hypercyclic (disjoint $\mathcal F$-topologically transitive) properties of binary relations over topological spaces.
Marko Kostić
doaj   +1 more source

Perov-fixed point theorems on a metric space equipped with ordered theoretic relation

open access: yesAIMS Mathematics, 2022
In this paper, we introduce a few new generalizations of the classical Perov-fixed point theorem for single-valued and multi-valued mappings in a complete generalized metric space endowed with a binary relation.
Yahya Almalki   +4 more
doaj   +1 more source

The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps

open access: yesMathematics, 2023
The purpose of this study is to present fixed-point results for Suzuki-type multi-valued maps using relation theory. We examine a range of implications that arise from our primary discovery.
Isaac Karabo Letlhage   +3 more
doaj   +1 more source

On modified L-contraction via binary relation with an application

open access: yesFixed Point Theory, 2022
. In this paper, we introduce the idea of L R -contraction by employing an amorphous binary relation on L -contraction in a metric space. We prove an existence and corresponding uniqueness fixed point results for L R -contraction employing an S ...
M. Hasanuzzaman   +2 more
semanticscholar   +1 more source

New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations

open access: yesAxioms, 2022
In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces. Several illustrative
Samera M. Saleh   +3 more
doaj   +1 more source

A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type Contraction Mapping with an Application

open access: yesAxioms, 2021
In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation.
Asik Hossain   +2 more
doaj   +1 more source

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